Question

At what temperature in the Celsius scale, $V\left(volume\right)$ of a certain mass of gas at ${27}^{0}C$ will doubled keeping the pressure constant?

• A. ${54}^{o}C$
• B. ${327}^{o}C$
• C. ${427}^{o}C$
• D. ${527}^{o}C$

Answer 1

The correct option is B ${327}^{o}C$

$\text{Given : V}{}_1\text{= V ; T}{}_1\text{=27 +273 =300 K ; V}{}_2\text{= 2V ; T}{}_2\text{= ?}\text{From ideal gas equation,}\frac{V_1}{T_1}=\frac{V_2}{T_2}\Rightarrow \frac{V}{300}=\frac{2V}{T_2}\Rightarrow T_2=600K\Rightarrow T_2=600-273={327}^{\circ }C$