a system of diatomic ideal gas contracts from a volume of 4.1 m3 to a final volume of 1.3 m3. if the process proceeds at constant pressure of 148 kpa, calculate the energy in kj transferred by heat, where positive is energy transferred into the system, and negative is energy transferred out of the system.

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25-10-2022
Physics

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a system of diatomic ideal gas contracts from a volume of 4.1 m3 to a final volume of 1.3 m3. if the process proceeds at constant pressure of 148 kpa, calculate the energy in kj transferred by heat, where positive is energy transferred into the system, and negative is energy transferred out of the system.

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Tutorconsortium220 Tutorconsortium220 · Answer 1 · 2022-10-28T23:57:49-04:00

A system of diatomic ideal gas contracts from a volume of 4.1 m3 to a final volume of 1.3 m3. if the process proceeds at constant pressure of 148 kpa. The energy transferred by heat, where positive is energy transferred into the system, and negative is energy transferred out of the system is(Q)= 1450.4 KJ

What is energy?

Energy is a physical term that means if a force is applied on a object and the object move some distance that means there is some energy is generate in that object. It is a vector quantity. It can be measured in Joule.

How can we calculate the energy?

To calculate the energy we using the formula,

Q = nCp AT

Or, Q = nCp(T₂-T₁)

Or, Q = nCp[P(V₂ - V₁) /nR] ....eq(1)

Here we are given,

V₁ =Initial volume = 4.1 m³

V₂= final volume = 1.3 m³

Process is isobaric so,

p= Constant pressure= 148 kP = 148 x 10³ P

n = Number of moles = 1

Cp= specific heat at constant pressure.

For diatomic molecule Cp = 7R/2

we know, AT = T₂-T₁

From ideal gas equation

PV = nRT

T = PV/ nR

T₁= PV₁/nR

And T₂ = PV₂/nR

Now to calculate energy = Q in KJ transferred by heat at constant pressure.

Substitute all these values in eq (1)

Q = n(7R/2) [P(V₂ - V₁) /nR]

Or, Q = 7P(V₂ - V₁)/2

Or, Q = 3.5(148 × 10³ P) (4.1- 1.3) m³

Or, Q = 1450.4 x 10³ J ........(P.m3 = J)

Or, Q = 1450.4 KJ

From the calculation we can say that, The energy transferred by heat, where positive is energy transferred into the system, and negative is energy transferred out of the system is(Q)= 1450.4 KJ

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