If a certain amount of ideal gas occupies a volume 8.7 m3 with a pressure of 6 atm and temperature 4.8 oC on earth, what would be its volume on another planet, where the temperature is 8.7oC and the pressure is 7.9 atm ? The answer is in unit of m3

The volume of the ideal gas on another planet will be 6.7 m³.

Explanation:

We can find the volume occupied by the ideal gas on another planet by using the Ideal Gas Law:

Where:

P: is the pressure

V: is the volume

n: is the number of moles

R: is the gas constant = 8.206x10⁻⁵ m³ atm K⁻¹mol⁻¹

T: is the temperature              

Since the gas occupies a volume of 8.7 m³ with a pressure of 6 atm and temperature 4.8 °C on earth, we have the following number of moles:

Now we can calculate the volume occupied by the ideal gas on another planet:

With T = 8.7 °C and P = 7.9 atm

Therefore, the volume of the ideal gas on another planet will be 6.7 m³.

I hope it helps you!                              

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