Home
Class 11
PHYSICS
What amount of heat must be supplied to ...

What amount of heat must be supplied to 35 g of oxygen at room temperature to raise its temperature by `80^(@)C` at constant volume (molecular mass of oxygen is 32 and R= 8.3 `j mol^(-1) K^(-1)`

A

1.52 KJ

B

3.23 KJ

C

1.81 KJ

D

1.62 KJ

Text Solution

Verified by Experts

The correct Answer is:
C
Here mass of oxygen (m) =35 g
molar mass of `O_(2)(M)=32 g mol^(-1)`
rise in temperature ,`Delta)T=80^(@)C`
number of moles `n=(m)/(M)=(35)/(32)`=1.09 mol
As oxygen is a diatomeic gas then molar specific heat at
constant volume is `C_(V)=(5)/(2)R`
and amount of heat supplied to gas
`DeltaQ =nC_(V)DeltaT=1.09 xx(5)/(2)Rxx80 =1.09xx(5)/(2)xx8.3xx80`
=1809.4 J = 1.8094 KJ = 1.81 KJ
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS

    NCERT FINGERTIPS|Exercise Thermodynamic State Variables|2 Videos

  • THERMODYNAMICS

    NCERT FINGERTIPS|Exercise Thermodynamic Process|52 Videos

  • THERMODYNAMICS

    NCERT FINGERTIPS|Exercise First Law Of Thermodynamics|5 Videos

  • THERMAL PROPERTIES OF MATTER

    NCERT FINGERTIPS|Exercise Assertion And Reason|10 Videos

  • UNITS AND MEASUREMENTS

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

Similar Questions

Explore conceptually related problems

The amount of heat supplied to 4xx10^(-2) kg of nitrogen at room temperature to rise its temperature by 50^(@)C at constant pressure is (Molecualr mass of nitrogen is 28 and R= 8.3 J mol^(-1)K^(-1))

What amount of heat must be supplied to 2xx10^(-2)Kg of nitrogen at room temperature to rise its temperature by 45^(@)C at constant pressure? Given molecular mass of nitrogen is 28 and R=8.3J mol e^(-1)K^(-1)

What amount of heat must be supplied to 2.0 xx 10^(-2) kg of nitrogen (at room temperature ) to raise the temperature by 45^(@)C at constant pressure. Molecular mass of N_(2) = 28 , R= 8.3 J "mol"^(-1) K^(-1) .

How much heat energy in joules must be supplied to 14gms of nitrogen at room temperature to rise its temperature by 40^(@)C at constant pressure? (Mol. Wt. of N_(2)=28gm , R=constant)

10 mol of a gas is heated at constant pressure to raise its temperature by 1^(@) C. The work done in joules is

Amount of heat energy required to raise the temperature of 2 g neon gas by 54°F at constant volume is (R= 2 cal mol^-1 K^-1 )

Calculate the molar specific heat of oxygen gas at constant volume. (R = 8.314 J mol^(-1) K^(-1) )