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Which of the following gas laws is equivalent to the work...

Which of the following gas laws is equivalent to the work done?

A.

Boyle's law

B.

Charles law

C.

Pressure law

D.

van der Waal's law

View answer & explanation

Correct answer is A

Mathematically Boyle's law = PV = K
Where P = Pressure
and V = Volume

By definition Pressure = $\frac{F}{A} = \frac{F}{M \times M}$

Again Workdone = force x displacement

therefore $PV = \frac{F}{A} \times V = \frac{F}{M^2} \times \frac{M^3}{1} \\ PV = \frac{F}{x\times x} \times \frac{x \times x \times x}{1} = F \times x$

= force x displacement

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