A home owner uses \( 4.00 \times 10^{3} \mathrm{~m}^{3} \) of methane \( \left(\mathrm{CH}_{4}\right) \) gas, (assume \(…

A home owner uses \( 4.00 \times 10^{3} \mathrm{~m}^{3} \) of methane \( \left(\mathrm{CH}_{4}\right) \) gas, (assume \( \mathrm{CH}_{4} \) is an ideal gas) in a year to heat his home. Under the pressure of \( 1.0 \mathrm{~atm} \) and \( 300 \mathrm{~K} \), mass of gas used is \( x \times 10^{5} \mathrm{~g} \). The value of \( \mathrm{x} \) is ____________(Nearest integer) (Given \( \mathrm{R}=0.083 \mathrm{Latm} \mathrm{K}^{-1} \mathrm{~mol}^{-1} \) )