Suppose a diatomic gas gets ionised to a certain extent without any expenditure of heat energy. If the fractional change in the number of moles of the gas be η, then ignoring any energy loss, the fractional change in the temperature of the gas will be

Question

Suppose a diatomic gas gets ionised to a certain extent without any expenditure of heat energy. If the fractional change in the number of moles of the gas be η, then ignoring any energy loss, the fractional change in the temperature of the gas will be

Infinity Learn · Accepted Answer

Initially, E $$=$$ $$no(52RT)------(i)Given$$  ∆nno $$=$$ η   or, ∆n $$=$$ ηnoNumber of moles of $$O2$$ left $$=$$ (1-n)no$$∴ Finally, E $$=$$ $$(1-$$η$$)no(5RT$$'$$2)+(2$$η$$no)(3RT$$'$$2)-----(ii)Equating$$ equations $$(i) and (ii), T' $$=$$ $$5T5+$$ηFractional change in temperature $$=$$ T'T $$=$$ $$1$$ $$=$$ $$-$$ηη$$+5$$

Suppose a diatomic gas gets ionised to a certain extent without any expenditure of heat energy. If the fractional change in the number of moles of the gas be $η$ , then ignoring any energy loss, the fractional change in the temperature of the gas will be

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