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Find the number of moles in 2.00 L of gas at 35.0°C and under 7.41×10⁷ N/m² of pressure.

a) 1.78 moles
b) 2.45 moles
c) 3.21 moles
d) 4.56 moles

1 Answer

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Final answer:

To find the number of moles in a gas, we can use the ideal gas law equation: PV = nRT. Plugging in the given values, we find that there are approximately 3.21 moles in 2.00 L of gas at 35.0°C and under 7.41×107 N/m² of pressure.

Step-by-step explanation:

To find the number of moles in a gas, we can use the ideal gas law equation:

PV = nRT

Where:

P is the pressure in N/m²

V is the volume in L

n is the number of moles

R is the ideal gas constant (8.314 J/(mol·K))

T is the temperature in Kelvin

Since we are given the pressure, volume, and temperature, we can rearrange the equation to solve for n:

n = PV / RT

Plugging in the given values:

n = (7.41×107 N/m²) x (2.00 L) / (8.314 J/(mol·K) x (35.0 + 273.15) K)

n ≈ 3.21 moles

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