$\"\"$

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Boyles law:

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Boyles Law states that the product of the pressure and volume for a gas is a constant for a fixed amount of gas at a fixed temperature.

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Mathematically, Boyles law can be defined as

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$\"\"$ or $\"\"$ .

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(a)

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Pressure of sample of air at $\"\"$ C is $\"\"$ k Pa.

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Volume of the gas $\"\"$ .

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Boyles law: $\"\"$ .

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Substitute corresponding values in the above formula.

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$\"\"$ .

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Volume $\"\"$ as a function of $\"\"$ :

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Consider $\"\"$ .

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Substitute $\"\"$ in above formula.

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$\"\"$

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$\"\"$

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(b)

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Consider $\"\"$ .

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Differentiate with respect to $\"\"$ on each side.

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$\"\"$

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Find the $\"\"$ value at $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$ represents rate of change of volume with respect to pressure at $\"\"$ C.

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Units of $\"\"$ are $\"\"$ .

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$\"\"$

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(a) $\"\"$ .

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(b) $\"\"$ .

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$\"\"$ represents rate of change of volume with respect to pressure at $\"\"$ C and

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Units of $\"\"$ are $\"\"$ .