Question

What will be the volume of air at 327°C if its volume at 27°C is 1.5 m³?
1. 3 m³
2. 1.5 m³
3. 6 m³
4. 10 m³

Answer 1

Correct Answer - Option 1 : 3 m³

Concept:

The Ideal gas equation is given as, PV = mRT

From Ideal gas equation, we know that, \(\frac{{{P_1}{V_1}}}{{{T_1}}} = \frac{{{P_2}{V_2}}}{{{T_2}}}\)

And at constant pressure, \( {\frac{{{V_1}}}{{{T_1}}} = \frac{{{V_2}}}{{{T_2}}}}\)

Calculation:

Given:

V1 = 1.5 m³, T1 = 27°C = 300 K, T2 = 327°C = 600 K

\( {\frac{{{V_1}}}{{{T_1}}} = \frac{{{V_2}}}{{{T_2}}}}\)

\(\Rightarrow \frac{1.5}{{\left( {300} \right)}} = \frac{{{V_2}}}{{\left( {600 } \right)}}\)

⇒ V2 = 3 m3,