The balanced equation for considered reaction can be written as follows
C(s)+2H2(g)→CH4(g)
N(H2)⋅VmV(H2)=N(CH4)⋅VmV(CH4)
V - volume
N - coefficient in chemical equation
Vm - molar volume
V(H2)=N(CH4)V(CH4)⋅N(H2)
V(H2)=1145⋅2=290L
Answer: 290 liters.
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