The volume of a given mass of a gas at $$27$$ oC, I atm is $$l00cc$$. What will be its volume at $$3270C$$?

Question

The volume of a given mass of a gas at $$27$$ oC, I atm is $$l00cc$$. What will be its volume at $$3270C$$?

Infinity Learn · Accepted Answer

We have to convert the given temperatures in kelvin. If pressure of a given mass of the gas is kept constant then V∝ T⇒  VT $$=$$ constant   [V $$=$$ Volume of gas]                                      [ Temperature of gas ] ⇒ $$V1T1$$ $$=$$ $$V2T2$$  ⇒$$V2$$ $$=$$ $$V1$$ (T2T1)Here$$ we must convert the given temperature in kelvin.$$T1$$ $$=$$ $$273$$ $$+$$ $$27$$ $$=$$ $$300$$ $$KT2$$ $$=$$ $$273+327$$ $$=$$ $$600$$ KBut $$V1$$ $$=$$ $$100$$ $$ccV2=$$ $$V1(600300) ⇒ $$V2$$ $$=$$ $$2V1$$∴  $$V2$$ $$=$$ $$2$$×$$100$$ $$=$$ $$200cc$$

The volume of a given mass of a gas at 27 $^{o} C$ , I atm is l00cc. What will be its volume at $327^{0} C$ ?

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The volume of a given mass of a gas at 27 oC, I atm is l00cc. What will be its volume at 3270C?

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The volume of a given mass of a gas at 27 $^{o} C$ , I atm is l00cc. What will be its volume at $327^{0} C$ ?