Question

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2500 cm3 of hydrogen is taken at S.T.P. The pressure of this gas is further increased by two and a half times (temperature remaining constant). What volume will
hydrogen occupy now ?​

Answer 1

Topic :-

Gas Equation

Given :-

2500 cm³ of hydrogen is taken at S.T.P. The pressure of this gas is further increased by two and a half times (temperature remaining constant).

To Find :-

Volume occupied by Hydrogen after performing given steps.

Concept Used :-

Boyle's Law

For a fixed amount of gas at constant temperature, the volume occupied by the gas is inversely proportional to the pressure applied on the gas or pressure of the gas.

$V \:\:\alpha\:\:\dfrac{1}{P}$

$PV= Constant$

$PV=P'V'$

Solution :-

Assume initial condition for gas as,

Pressure = P

Volume = 2500cm³

Assume final condition for gas as,

Pressure = P'

It is given that

P' = 2.5 × P

Volume = V'

Now, apply the formula,

$PV=P'V'$

P × 2500 cm³ = P' × V'

P × 2500 cm³ = 2.5 × P × V'

$V'=\dfrac{\not{P} \times 2500cm^3}{2.5 \times \not{P}}$

$V'=\dfrac{2500cm^3}{2.5}$

$V'=1000\:cm^3$

Answer :-

So, volume occupied by Hydrogen after performing given steps is 1000 cm³.

Answer 2

= 714.29cm³

Question solved✅and sry for little bit bad hand writing because of hand pain.