If the pressure of a gas sample is quadrupled and the absolute temperature is doubled, by what factor does the volume of the sample change?

a) 2

b) 1/4

c) 1/8

d) 1/2

D) 1/2

Explanation:

Using Ideal gas equation for same mole of gas as

Given,

P₂ = 4P₁

T₂ = 2T₁

Using above equation as:

The volume change by half of the original.

¹/₂

Given:

Question:

By what factor does the volume of the sample change?

The Process:

We use an equation of state for an ideal gas:  

For the same amount of substances in two states, the equations for state-1 and state-2 are as follows:

Let us use the equation above to see the relationship between volumes. Enter all the information in the equation.

Thus by factor ¹/₂, the volume of the sample will change.

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Notes

n = moles of ideal gas

R = the molar gas constant (in J mol⁻¹ K⁻¹)

Keywords: the pressure of a gas sample, an ideal gas, volume, constant, moles, equation of state , quadrupled, the absolute temperature, doubled, by what factor, change

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