Question 13 The ideal gas law (PV-nRT) describes the relationship among pressure

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Question 13 The ideal gas law (PV-nRT) describes the relationship among pressure P, volume V, temperature T, and molar amount n. When n and V are fixed, the equation can be rearranged to take the following form where k is a Constant final initial When n and Pare fixed, the expression becomes nR final initial Part A The pressure inside a hydrogen-filled container was 2.10 atm at 21 °C. What would the pressure be if the container was heated to 95 °C Express your answer with the appropriate units final 2.63 atm Submit Hints My Answers Give Up Review Part Correct The pressure of a fixed amount of gas at constant volume is directly proportional to its temperature: the higher the temperature, the greater the pressure. That is why warnings on many household containers read: "Contents under pressure. Do not place near sources of heat." If such a container is overheated it might explode Part B At standard temperature and pressure (o Cand 1.00 atm 1.00 mol of an ideal gas occupies a volume of 22.4 L. What volume would the same amount of gas occupy at the same pressure and 75 o C? Express your answer with the appropriate units final Value L Submit Hints My Answers Give Up Review Part

Explanation / Answer

We will use ideal gas equation here

PV = nRT

So if we keep number of moles and pressure constant then the volume will depend upon temperature as stated in Charles law : if a given quantity of gas is held at a constant pressure, its volume is directly proportional to the absolute temperature.

V1 / T1 = V2 / T2

V1 = 22.4 L

T1 = 273 K

V2 = ?

T2 = 75 + 273 K = 348 K

So V2 = 22.4 X 348 / 273 = 28.55 L

V final = 28.55 L

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