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If 0.65 g of a gas occupies 275 ml at 26 °c and 1.10 atm, calculate the molar mass of the gas.

User CrveniZg
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Final answer:

To calculate the molar mass of a gas, use the ideal gas law to find the number of moles and then divide the given mass by the number of moles.

Step-by-step explanation:

The question involves calculating the molar mass of a gas given its mass, volume, temperature, and pressure conditions. To solve this problem, we'll use the ideal gas law equation, 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 Kelvin.

First, we convert the given units to the appropriate SI units for use in the equation: 26 °C to Kelvin (K), 275 mL to liters (L), and 1.10 atm to Pascals (Pa). After conversion, the equation can be used to solve for n (number of moles). Once n is found, the molar mass can be calculated by dividing the given mass of the gas by the number of moles. The formula for molar mass (M) is M = m/n, where m is the mass in grams and n is the number of moles.

The gas constant (R) value used should be 0.0821 L·atm/K·mol when pressure is in atm and volume is in liters.

User Ubeogesh
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