Question

A gas at a pressure of 5.0 atm is heated from $0^{0}C$ to ${546}^{0}C$ and simultaneously compressed to one-third of its original volume. Hence, final pressure of the gas is:

• A. 10.0 atm
• B. 30.0 atm
• C. 45.0 atm
• D. 5.0 atm

Answer 1

The correct option is C 45.0 atm

According to the combination of gas laws:

$\frac{P_1.V_1}{T_1}=\frac{P_2.V_2}{T_2}$

$V_2=\frac{V_1}{3}$

$\therefore \frac{5\times V}{273}=\frac{P\times V/3}{819}$

$\Rightarrow P=45atm$

Hence, option C is correct.