Question

One litre of a gas at ${10}^{\circ }C$ is heated till both its volume and pressure are tripled. Find the new temperature.

• A. 2547 K
• B. 2347 K
• C. 2267 K
• D. 2167 K

Answer 1

The correct option is A

2547 K

Initial Condition -

$P_1=P$

$V_1=1litre$

$T_1=273+10=283K$

Final Condition -

$P_1=3P$

$V_1=3litre$

$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$

$\frac{P\times 1}{283}=\frac{3P\times 3}{T_2}$

$T_2=2547K$