Question

An ideal gas in a closed inflexible container has a pressure of 6 $atm$ and a temperature of 27${}^{\circ }C$. What will be the new pressure at -73${}^{\circ }C$?

• A. 2 $atm$
• B. 3 $atm$
• C. 4 $atm$
• D. 8 $atm$
• E. 9 $atm$

Answer 1

The correct option is C 4 $atm$

Using ideal gas equation for constant volume :

$P_1{T}_2$$=$$P_2{T}_1$

So, $P_2$$=$$P_1{T}_2/T_1$

$T_2$$=$$273-73$$=$$200K$

$T_1$$=$$273+27$$=$$300K$

or $P_2$$=$$6\times 200/300$$=$$4atm$

Therefore, the option is C.