Question

State Ideal gas equation and law.

Solution

Ideal gas law is a law relating the pressure, temperature and volume of an ideal gas. Ideal gas equation is combination of three laws (Boyle's law, Charles law and Avogadro law) and gives a single equation $$(PV=nRT)$$ called as Ideal gas equation.Mathematically,According to Boyle's law, at constant $$T$$ and $$n$$,$$V\propto 1/P............(1)$$According to Charle's law, at constant $$P$$ and $$n$$,$$V\propto T..............(2)$$According top Avogadro law, at constant $$T$$ and $$n$$,$$V\propto n..............(3)$$From equation $$1,2$$ and $$3$$, we get$$V\propto nT/P...........(4)$$or, $$V=RnT/P.............(5)$$or, $$PV=nRT..............(6)$$Then, $$R=PV/nT...........(7)$$Where, $$R$$ is a gas constant which is same for all gases and known as Universal gas constant and equation $$(6), PV=nRT$$ is known as ideal gas equation.Chemistry

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