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100cm3 of a gas has a pressure of 1ATM determine the volume of the gas of 5atm keeping the temperature constant ?

Mar 22

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Mar 22

To determine the volume of the gas at 5 atm, we can use the ideal gas law equation:

PV = nRT

Where:

P = pressure

V = volume

n = number of moles

R = ideal gas constant

T = temperature

Since the temperature is constant, we can simplify the equation to:

P1V1 = P2V2

Where:

P1 = initial pressure (1 atm)

V1 = initial volume (100 cm3)

P2 = final pressure (5 atm)

V2 = final volume (unknown)

Plugging in the values:

1 atm * 100 cm3 = 5 atm * V2

100 cm3 = 5 atm * V2

V2 = 100 cm3 / 5

V2 = 20 cm3

Therefore, the volume of the gas at 5 atm pressure, keeping the temperature constant, would be 20 cm3.

PV = nRT

Where:

P = pressure

V = volume

n = number of moles

R = ideal gas constant

T = temperature

Since the temperature is constant, we can simplify the equation to:

P1V1 = P2V2

Where:

P1 = initial pressure (1 atm)

V1 = initial volume (100 cm3)

P2 = final pressure (5 atm)

V2 = final volume (unknown)

Plugging in the values:

1 atm * 100 cm3 = 5 atm * V2

100 cm3 = 5 atm * V2

V2 = 100 cm3 / 5

V2 = 20 cm3

Therefore, the volume of the gas at 5 atm pressure, keeping the temperature constant, would be 20 cm3.