A gas at pressure PNm\(^{-2}\) and temperature 27^\circC is heated to 77^\circC at constant volume. The new pressure is
A
0.85 PN-m-2
B
0.86 PN-m-2
C
1.16 PN-m-2
D
1.18 PN-m-2
E
2.85 PN-m-2
Verified Correct Answer: C.
Physical Principles & Numerical Solution
At constant volume,
\(\frac{P_1}{T_1}\) = \(\frac{P_2}{T_2}\)
\(\frac{P}{27 +273}\) = \(\frac{P_2}{77 + 273}\)
\(300P_2 = 350P\)
P2 = 1.16 PNm\(^{-2}\)
Source: Myschool Past Questions Archive (Record #29277)