Question

If the pressure of an ideal gas contained in a closed vessel is increased by 0.5%, the increase in temperature is 2K. The initial temperature of the gas is

• A. 27°C
• B. 127°C
• C. 300°C
• D. 400°C

Answer 1

Answer: (B)

127°C

Answer 2

$P \propto T$ ̃ $\frac{P_{1}}{P_{2}} = \frac{T_{1}}{T_{2}}$̃ $\frac{P}{P + \frac{0.5}{100}P} = \frac{T}{T + 2}$

̃ $\frac{200}{201} = \frac{T}{T + 2}$ ̃ T = 400 K = 127°C