QJEEM21Chca2c: JEE Main 2021 Chemistry - Class 11 JEEM21Chca2c Solution: A home owner uses 4.00 × 10 3 m 3 of methane (CH 4 ) gas,…

Question

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A home owner uses 4.00

\times

10³ m³ of methane (CH₄) gas, (assume CH₄ is an ideal gas) in a year to heat his home. Under the pressure of 1.0 atm and 300 K, mass of gas used is x

\times

10⁵ g. The value of x is __________. (Nearest integer)

(Given R = 0.083 L atm K^{$-$ 1} mol^{$-$ 1})

Accepted Answer

n (C H_{4}) = \frac{P V}{R T}

= \frac{1 \times 4 \times 10^{3} \times 1000}{0.083 \times 300}

Weight of CH₄

= \frac{40 \times 16 \times 10^{5}}{0.083 \times 300}

gm

= 25.7 \times 10^{5}

gm

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