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The volume of an automobile airbag was 62.9 L when inflated at 25°C with 78.4 g of nitrogen gas. What was the pressure in the bag in kPa?

Options:
a. 167.3 kPa
b. 194.5 kPa
c. 218.7 kPa
d. 236.2 kPa

1 Answer

2 votes

Final answer:

To find the pressure in the automobile airbag, we can use the ideal gas law equation: PV = nRT. Given the volume, temperature, and mass of nitrogen gas, we can convert the units and calculate the pressure in kPa.

Step-by-step explanation:

To find the pressure in the automobile airbag, we can use the ideal gas law equation: PV = nRT. Here, P represents pressure, V represents volume, n represents the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin. First, we need to convert the volume from liters to cubic meters, the temperature from Celsius to Kelvin, and the mass of nitrogen gas to moles. Then, we can substitute the values into the ideal gas law equation to find the pressure. The answer is 218.7 kPa.

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