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Question: The adiabatic elasticity of hydrogen gas \(( \gamma = 1.4 )\) at NTP is...

The adiabatic elasticity of hydrogen gas (γ=1.4)( \gamma = 1.4 ) at NTP is

A

1×105 N/m21 \times 10 ^ { 5 } \mathrm {~N} / \mathrm { m } ^ { 2 }

B

1×10−8 N/m21 \times 10 ^ { - 8 } \mathrm {~N} / \mathrm { m } 2

C

1.4 N/m21.4 \mathrm {~N} / \mathrm { m } ^ { 2 }

D

1.4×105 N/m21.4 \times 10 ^ { 5 } \mathrm {~N} / \mathrm { m } ^ { 2 }

Answer

1.4×105 N/m21.4 \times 10 ^ { 5 } \mathrm {~N} / \mathrm { m } ^ { 2 }

Explanation

Solution

Eϕ=γP=1.4×(1×105)=1.4×105 N/m2E _ { \phi } = \gamma P = 1.4 \times \left( 1 \times 10 ^ { 5 } \right) = 1.4 \times 10 ^ { 5 } \mathrm {~N} / \mathrm { m } ^ { 2 }