Question # If the pressure of an ideal gas contained in a closed vessel in creased by ( 0.5 %, ) the increase in temperature is ( 2 mathrm{K} ). The initial temperature of the gas is

# If the pressure of an ideal gas contained in a closed vessel in creased by ( 0.5 %, ) the increase in temperature is ( 2 mathrm{K} ). The initial temperature of the gas is

(1) ( 27^{circ} mathrm{C} )

(2) ( 127^{circ} mathrm{C} )

(3) ( 300^{circ} mathrm{C} )

(4) ( 400^{circ} mathrm{C} )

Solution

( P vee=n R T )

In closed contains

[ begin{aligned} d P &=d T frac{d P}{P_{i}} &=frac{d T}{T_{i}} 0.5 %, & d T=2 frac{0.5}{100} &=frac{2}{T_{i}} T_{i}=& 400 mathrm{K} &=400-273^{circ} mathrm{C} 127^{circ} & text { (2) Ans } end{aligned} ]