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Given that (1+5x)⁴ = 1 + Px + Qx² + Rx³ +..... Find the values of P - 2Q + 3R

Given that (1+5x)⁴ = 1 + Px + Qx² + Rx³ +..... Find the values of P - 2Q + 3R

Grade:12th pass

1 Answers

Forum 2
askIITians Faculty 23 Points
one year ago
Let initial pressure, volume and temperature be P, V and T respectively.

∴ P

2

=2P

For isothermal process : P

2

V

2

=P

1

V

1

(2P)V

2

=PV ⟹V

2

=

2

V

For adiabatic process : P

2

V

2

γ

=P

3

V

3

γ

(Given γ=1.4)

⇒2P(

2

V

)

1.4

=P

3

V

1.4

⇒ 2(

2

1

)

1.4

=

P

P

3

⇒2×0.38=

P

P

3

⇒

P

P

3

=0.76

Thus, P

3

:P=0.76:1

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