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A certain mass of a gas occupies a volume of 2 liters at STP, keeping

the pressure constant. At what temperature would the gas occupy a
volume of 4 liters?
a -273° C
b -847° C
c- 546° C
d -None of the above

1 Answer

3 votes

Final answer:

The temperature at which a gas that occupies 2 liters at STP would occupy 4 liters is 273°C. Since this option is not given, the correct answer is 'None of the above'.

Step-by-step explanation:

The subject of the question is gas laws and their application to changes in temperature and volume under constant pressure conditions. According to Charles's Law, which states that the volume of a given amount of gas held at constant pressure is directly proportional to its Kelvin temperature (V/T = k), we can determine how the volume of a gas will change with temperature. At standard temperature and pressure (STP), which is defined as 0°C (273 K) and 1 atm, a certain mass of a gas occupies 2 liters. If we double the volume to 4 liters while keeping the pressure constant, we are effectively doubling the absolute temperature (in Kelvin). Therefore, to find out at what temperature the gas will occupy 4 liters, we simply double the temperature from STP which gives us 546 K, which is 273 K × 2. However, options are given in Celsius, so we convert 546 K to Celsius by subtracting 273. This gives us 273°C, which is not listed in the options. Therefore, the correct answer is d - None of the above.

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