Question

At what temperature would the volume of a given mass of a gas at constant pressure be twice its volume at $0°\mathrm{C}$

• A. $100°\mathrm{C}$
• B. $273°\mathrm{C}$
• C. $373°\mathrm{C}$
• D. $546°\mathrm{C}$

Answer 1

The correct option is B

$273°\mathrm{C}$

Explanation for the correct option

option (b) is correct.

In a question, it is given that

P = constant

V₁ = V

V₂ = 2V

T₁ = $0°\mathrm{C}(273\mathrm{K})$

T₂ = ?

$\frac{{\mathrm{V}}_1}{{\mathrm{T}}_1}=\frac{V_1}{T1}$

So, as per the given data in a question-

$\frac{\mathrm{V}}{273}=\frac{2V}{T_2}$

$$\begin{gathered} {\mathrm{T}}_2=2\times 273 \\ {\mathrm{T}}_2=546\mathrm{K} \\ {\mathrm{T}}_2=273°\mathrm{C} \end{gathered}$$

All the other options are incorrect because they are not satisfying the above equation.