A sample of nitrogen gas occupies a volume of 1.00L at a pressure of 0.50 bar and at 40°C. Calculate the pressure if the gas is compressed to 0·225 cm³ at –6°C.

Solution

Original conditions:
$straight V subscript 1 space equals space 1 space straight L space equals space 1000 space mL straight P subscript 1 space equals space 0.50 space bar straight T subscript 1 space equals space 273 space plus space 40 space equals space 313 space straight K$
Final conditions:
$straight V subscript 2 space equals space 0.225 space mL straight P subscript 2 space equals space ? straight T subscript 2 space equals space 273 minus 6 space equals space 267 space straight K$
Applying gas equation $fraction numerator straight P subscript 1 straight V subscript 1 over denominator straight T subscript 1 end fraction space equals space fraction numerator straight P subscript 2 straight V subscript 2 over denominator straight T subscript 2 end fraction.$
Substituting the values in the above equation, we .
have,
$fraction numerator 0.50 space cross times space 1000 over denominator 313 end fraction space equals space fraction numerator straight P subscript 2 space cross times space 0.225 over denominator 267 end fraction$
$therefore space space space space space space space straight P subscript 2 space equals space fraction numerator 0.50 space cross times space 1000 space cross times space 267 over denominator 313 space cross times space 0.225 end fraction space space space space space space space space space space space space space space space equals space 1895.6 space bar$

Some More Questions From States of Matter Chapter

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States Of Matter

A sample of nitrogen gas occupies a volume of 1.00L at a pressure of 0.50 bar and at 40°C. Calculate the pressure if the gas is compressed to 0·225 cm³ at –6°C.

Some More Questions From States of Matter Chapter

What is atmospheric pressure?

Which state of matter has a definite volume but no definite shape?

What is absolute temperature?

What is the absolute zero temperature?

Can absolute zero temperature be attained for a gas?

How pressure of a given sample of gas is related to absolute temperature at constant volume?

How is the pressure of a gas related to the number of molecules of the gas at constant temperature and volume?

What is standard (or normal) temperature and pressure (STP)?

What does SATP stand for? Define it.

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States Of Matter

A sample of nitrogen gas occupies a volume of 1.00L at a pressure of 0.50 bar and at 40°C. Calculate the pressure if the gas is compressed to 0·225 cm3 at –6°C.

Some More Questions From States of Matter Chapter

What is atmospheric pressure?

Which state of matter has a definite volume but no definite shape?

What is absolute temperature?

What is the absolute zero temperature?

Can absolute zero temperature be attained for a gas?

How pressure of a given sample of gas is related to absolute temperature at constant volume?

How is the pressure of a gas related to the number of molecules of the gas at constant temperature and volume?

What is standard (or normal) temperature and pressure (STP)?

What does SATP stand for? Define it.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A sample of nitrogen gas occupies a volume of 1.00L at a pressure of 0.50 bar and at 40°C. Calculate the pressure if the gas is compressed to 0·225 cm³ at –6°C.