A sample of an ideal gas has its volume doubled while its temperature remains constant. If the original pressure was 100 torr, what is the new pressure?

Respuesta :

PV = constant

V doubles, P will become half

New pressure = 100/2 = 50 torr

A sample of an ideal gas has its volume doubled while its temperature remains constant. If the original pressure was 100 torr, the new pressure is 50 torr.

We have a sample of an ideal gas with a defined volume (V₁) at a certain pressure (P₁ = 100 torr) and temperature. While maintaining the temperature constant, the volume is doubled (V₂ = 2 V₁). We can calculate the new pressure (P₂) using Boyle's law, which states there is an inverse relationship between pressure and volume of an ideal gas.

[tex]P_1 \times V_1 = P_2 \times V_2\\P_2 = \frac{P_1 \times V_1}{V_2} =\frac{P_1 \times V_1}{ 2V_1}= \frac{P_1}{2} = \frac{100torr}{2} = 50torr[/tex]

A sample of an ideal gas has its volume doubled while its temperature remains constant. If the original pressure was 100 torr, the new pressure is 50 torr.

You can learn more about Boyle's law here: https://brainly.com/question/1437490

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