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Question

Chemistry Question on Thermodynamics

ΔU?\Delta U^? of combustion of CH4(g)CH_{4(g)} at certain temperature is 393kJmol1- 393 \,kJ\, mol^{-1}. The value of ΔH?\Delta H^? is

A

zero

B

<ΔU?< \Delta U^?

C

>ΔU?> \Delta U^?

D

equal to ΔU?\Delta U^?

Answer

<ΔU?< \Delta U^?

Explanation

Solution

The balanced equation for combustion of methane is CH4(g)+2O2(g)CO2(g)+2H2O(l)C H _{4\left(g\right)} + 2 O_{2\left(g\right)} \to CO_{2\left(g\right)} + 2H_{2}O_{\left(l\right)} Here, Δng=13=2\Delta n_{g} = 1 - 3 = - 2 ΔH=ΔU+ΔngRT\Delta H^{\circ}= \Delta U^{\circ}+\Delta n_{g}RT ΔH=3932RT\Delta H^{\circ} = -393 - 2RT ΔH<ΔU\therefore \Delta H^{\circ} < \Delta U^{\circ}