Which of the following sample weighs least ?A 112 litres of ethane at STPB 1 gram atom of silverC 5 moles of nitrogenD 124 grams of phosphorous
Question
Which of the following sample weighs least ?
A 112 litres of ethane at STPB
B 1 gram atom of silver
C 5 moles of nitrogen
D 124 grams of phosphorous
Solution
To answer this question, we need to convert all the given quantities into grams.
A. 112 litres of ethane at STP At STP, 1 mole of any gas occupies 22.4 litres. The molar mass of ethane (C2H6) is approximately 30 g/mole. Therefore, 112 litres of ethane is equivalent to (112/22.4) moles = 5 moles. So, the weight of 112 litres of ethane at STP is 5 moles * 30 g/mole = 150 grams.
B. 1 gram atom of silver 1 gram atom of any element is equal to its atomic weight in grams. The atomic weight of silver (Ag) is approximately 107.87 g/mole. Therefore, 1 gram atom of silver weighs 107.87 grams.
C. 5 moles of nitrogen The molar mass of nitrogen (N2) is approximately 28 g/mole. Therefore, 5 moles of nitrogen weigh 5 moles * 28 g/mole = 140 grams.
D. 124 grams of phosphorous This is already given in grams.
Comparing all the weights, we find that 1 gram atom of silver (107.87 grams) weighs the least. So, the answer is B. 1 gram atom of silver.
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