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8. How many moles of a substance are present in a 1.45 L container at 26.0°C and 501 torr?

User Magras
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1 Answer

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The number of moles of a substance in a container can be calculated using the Ideal Gas Law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in kelvins.

First, we need to convert the temperature from degrees Celsius to kelvins:

T (K) = T (°C) + 273.15 = 26.0°C + 273.15 = 299.15 K

Next, we can plug in the values into the Ideal Gas Law and solve for n:

PV = nRT
n = (PV) / (RT) = (501 torr * 1.45 L) / (0.0821 Latm/molK * 299.15 K)

The final answer will be in moles. Note that 1 torr = 1 atm / 760.

n = (501 torr * 1.45 L) / (0.0821 Latm/molK * 299.15 K)
= (501 torr * 1.45 L / 760) / (0.0821 Latm/molK * 299.15 K)
= 0.501 * 1.45 / (0.0821 * 299.15)

= 0.501 * 1.45 / (0.0821 * 299.15)

You can perform the calculation to get the exact number of moles.
User Thane Anthem
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