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Physics
UTME / JAMB 2008
Heat and Temperature
Solution
A sealed flask contains 600cm3 of air at 27°C and is heated to 35°C at constant pressure. The new volume is?
A
508 cm3
B
516 cm3
C
608 cm3
D
616 cm3
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
V1 = 600cm3, T1 = 27 = 273 = 300k
T2 = 35 + 273 = 308K, V2 = ?
(V)1/T1
= (V)2/T2 = V2
= (V)1/T1 x X T2
= (600 X 308)/300 = 616 cm3
Source: WAEC / JAMB / NECO Classroom Archive (Record #14041)
Physics
UTME / JAMB 2008
Heat and Temperature
Solution
If the partial pressure of water vapour at 27°C is 18 mm Hg and the saturated vapour pressure of the atmosphere at the same temperature is 24 mm Hg, the relative humidity at this temperature is?
A
25%
B
33%
C
75%
D
82%
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Relative
Humidity = (S.V.P. of water at dew point)/S.V.P of water at air temperature =(18)/24 x 100% = 75%
Source: WAEC / JAMB / NECO Classroom Archive (Record #14043)
Physics
UTME / JAMB 2007
Heat and Temperature
Solution
A blacksmith heated a metal whose cubic expansivity is 6.3 x 10\(^{-6}\)K\(^{-1}\). The area expansivity is
A
2.0 x 10-6K-1
B
2.1 x 10-6K-1
C
4.2 x 10-6K-1
D
6.3 x 10-6K-1
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
If the linear expansivity = ∝
=> area expansivity \beta = 2∝.
And cubic expansivity δ = 3∝.
=> 6.3 x 10\(^{-6}\) = 3∝
∴ ∝ = \(\frac{6.3 \times 10^{-11}}{3}\) = 2.1 x 10\(^{-6}\)
∴ Area = 2∝ = 2 x 2.1x10\(^{-6}\)
= 4.2 x 10\(^{-6}\)K\(^{-1}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #14385)
Physics
WAEC / WASSCE 2002
Heat and Temperature
Solution
One common characteristics of solids, liquids and gasses is that?
A
all the three has fixed volume
B
their molecule have the same size
C
their molecules are always in motion
D
all the three have the same inter molecular forces
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
The kinetic theory of matter (particle theory) says that all matter consists of many, very small particles which are constantly moving or in a continual state of motion.
Source: WAEC / JAMB / NECO Classroom Archive (Record #33964)
Physics
UTME / JAMB 2000
Heat and Temperature
Solution
At a fixed point below a liquid surface, the pressure downwards is P1 and pressure upwards is P2. It can be deduced that?
A
P1 > P2
B
P1 ≥ P2
C
P1 2
D
P1 = P2
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
As the temperature increases, the molecules in the gas move faster, impacting the gas's container more frequently and exerting a greater force. This increases the pressure. And similarly As the pressure goes up, the temperature also goes up. So the temperature and the pressure is directly proportional to each other. At a fixed point, temperature is kept constant. Hence, at this point, it can be deduced that \(P_{1} = P_{2}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #695)
Physics
WAEC / WASSCE 1998
Heat and Temperature
Solution
An object is heated from 30ºC to 57ºC. The increases in its temperature on the Kelvin scale is
A
17k
B
27k
C
81k
D
246k
E
300k
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
30^\circC + 273 = 303K
57^\circC + 273 = 330K
∆T = 330K - 303K
→ 27K
Source: WAEC / JAMB / NECO Classroom Archive (Record #33544)
Physics
UTME / JAMB 1986
Heat and Temperature
Solution
The expansion of solids can be considered a disadvantage in the?
A
balance wheel of a watch
B
fitting of wheels on rims
C
fire alarm
D
thermostat
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
expansion of wrist-watch causes lose of time
Source: WAEC / JAMB / NECO Classroom Archive (Record #28495)
Physics
UTME / JAMB 1985
Heat and Temperature
Solution
Two divers G and H are at depths 20m and 40m respectively below the water surface in a lake. The pressure on G is P1 while the pressure on H is P2. If the atmospheric pressure is equivalent to 10m of water, then the value of \( \frac{p_2}{p_1} \) is?
A
0.50
B
0.60
C
1.67
D
2.00
E
3.0
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
pressure at H = 40m ; pressure at G, p1 = 20m
\(\frac{p_1}{p_1}\) = \(\frac{40 + 10}{20 + 10}\)
= \(\frac{50}{30}\)
≈ 1.67
Source: WAEC / JAMB / NECO Classroom Archive (Record #28569)
Physics
UTME / JAMB 1985
Heat and Temperature
Solution
A quantity of gas occupies a certain volume when the temperature is -73oC and the pressure is 1.5 atmospheres. If the pressure is increased to 4.5 atmospheres and the volume is halved at the same time, what will be the new temperature of the gas?
A
573oC
B
327oC
C
300oC
D
110oC
E
27oC
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
General Gas Law:
\(\frac{P_1 V_1}{T_1}\) = \(\frac{P_2 V_2}{T_2}\)
where T\(_1\) = -73 + 273 = 200k, T\(_2\) = ?,
V\(_1\) = 1, V\(_2\) = \(\frac{1}{2V}\),
P\(_1\) = 1.5, P\(_2\) = 4.5
T\(_2\) = \(\frac{P_2 V_2 T_1}{P_1 V_1}\)
T\(_2\) = \(\frac{4.5 * 1/2 * 200}{1.5 X 1}\)
T\(_2\) → 300k or 27ºC
Source: WAEC / JAMB / NECO Classroom Archive (Record #28593)
Physics
UTME / JAMB 1982
Heat and Temperature
Diagram
Solution
The water manometer above is measuring the pressure of gas supply. if the specific gravity of mercury is 13.6 and the atmospheric pressure is 70cm of mercury what is the total pressure of the gas supply in cm of water
Attached Figure / Diagram
A
67cm
B
73cm
C
949cm
D
952cm
E
955cm
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
Atmospheric pressure = 70cmHg (which is the height of mecury)
pressure = pgh = pwghw
Where
Pw = density of water
hw = height of water
ph = pwhw
13.6*70 = 1*hw
hw = 952cm
Pressure of gas in cm of water = 952 + 3 = 955cm
Source: WAEC / JAMB / NECO Classroom Archive (Record #41620)
Physics
UTME / JAMB 1981
Heat and Temperature
Solution
When fixed mass of an ideal gas expands at constant temperature, which property of the gas molecule increases?
A
average number per unit volume
B
average kinetic energy
C
average speed
D
average seperation
E
average number of collisions per unit time
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Since the gas molecules expanded, there's an increase in Separation
Source: WAEC / JAMB / NECO Classroom Archive (Record #28973)
Physics
UTME / JAMB 1980
Heat and Temperature
Solution
If the volume of a fixed mass of a gas is kept constant, the pressure of the gas
A
is inversely proprotional to its centigrade temperature
B
is inversely proportional to its absolute temperature
C
is directly proportional to its centigrade temperature
D
is directly proportional to its absolute temperature
E
remains constant also
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Gay-Lussac's Law states that the pressure of a given mass of gas varies directly with the absolute temperature of the gas, when the volume is kept constant.
Source: WAEC / JAMB / NECO Classroom Archive (Record #29114)