A home owner uses 4.00 × 10³m³ of methane (CH?) gas, (assume CH? 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 × 10?g. The value of x is ______ (Nearest integer).
(Given R = 0.083 L atm K?¹mol?¹)
A home owner uses 4.00 × 10³m³ of methane (CH?) gas, (assume CH? 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 × 10?g. The value of x is ______ (Nearest integer).
(Given R = 0.083 L atm K?¹mol?¹)
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1 Answer
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PV = nRT
n = PV/RT = (1 atm × 4×10? L) / (0.083 LatmK? ¹mol? ¹ × 300 K) = 1.6 × 10? mol
Mass = n × Molar Mass = 1.6 × 10? mol × 16 g/mol = 25.6 × 10? g ≈ 26 × 10? g
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