Gas pressure and temperature

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Question 17
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Figure 4 shows a small steel canister of pressurized nitrogen gas used to inflate an emergency avalanche airbag.

Figure 4: A small, sealed metal canister next to a large, deflated fabric safety airbag that eventually inflates to a volume of 1200 cm³.

The initial pressure, P1P_1P1​, inside the canister is 15.0 MPa.

The internal volume, V1V_1V1​, of the canister is 20.0 cm3.

When the canister is triggered, all of the nitrogen gas expands to fill the airbag.

The final volume of the gas, V2V_2V2​, in the inflated airbag is 1200 cm3.

Calculate the final pressure, P2P_2P2​, of the nitrogen gas inside the inflated airbag.

Use the equation:

P1V1=P2V2 P_1 V_1 = P_2 V_2 P1​V1​=P2​V2​
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Gas pressure and temperature Questions

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