If ‘$$2$$’ moles of diatomic gas and $$1$$ mole of monoatomic gas are mixed, then the ratio of specific heats for the mixture is

Question

Infinity Learn · Accepted Answer

we know CP $$mix=$$μ$$1CP1+$$μ$$2CP2$$μ$$1+$$μ$$2$$;CV $$mix=$$μ$$1CV1+$$μ$$2CV2$$μ$$1+$$μ$$2$$;CP $$=$$γRγ$$-1$$;CV $$=R$$γ$$-1$$ γmixture of $$gases=CP$$ mixCV mix γmixture of $$gases=$$μ$$1$$γ$$1$$γ$$1$$−$$1+$$μ$$2$$γ$$2$$γ$$2$$−$$1$$μ$$1$$γ$$1$$−$$1+$$μ$$2$$γ$$2$$−$$1$$ for monoatomic gas γ$$=53$$ ;for diatomic gas γ$$=75$$ given μ$$1=1$$ and μ$$2=2$$ substitute the valus in γmixture of gases  as⇒γmixture of $$gases=5353$$−$$1+14575$$−$$1153$$−$$1+275$$−$$1=1913$$

If ‘2’ moles of diatomic gas and 1 mole of monoatomic gas are mixed, then the ratio of specific heats for the mixture is

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