Calculate the number of molecules in a deep breath of air whose volume is 2.35 L
ID: 591188 • Letter: C
Question
Calculate the number of molecules in a deep breath of air whose volume is 2.35 L at body temperature, 36 C, and a pressure of 735 torr. Express the answer in molecules to three significant figures. The adult blue whale has a lung capacity of 5.0×103 L. Calculate the mass of air (assume an average molar mass 28.98 g/mol) contained in an adult blue whale’s lungs at 0.5 C and 1.10 atm, assuming the air behaves ideally. Express the answer in kilograms to two significant figures. Calculate the number of molecules in a deep breath of air whose volume is 2.35 L at body temperature, 36 C, and a pressure of 735 torr. Express the answer in molecules to three significant figures. The adult blue whale has a lung capacity of 5.0×103 L. Calculate the mass of air (assume an average molar mass 28.98 g/mol) contained in an adult blue whale’s lungs at 0.5 C and 1.10 atm, assuming the air behaves ideally. Express the answer in kilograms to two significant figures. Calculate the number of molecules in a deep breath of air whose volume is 2.35 L at body temperature, 36 C, and a pressure of 735 torr. Express the answer in molecules to three significant figures. The adult blue whale has a lung capacity of 5.0×103 L. Calculate the mass of air (assume an average molar mass 28.98 g/mol) contained in an adult blue whale’s lungs at 0.5 C and 1.10 atm, assuming the air behaves ideally. Express the answer in kilograms to two significant figures. The adult blue whale has a lung capacity of 5.0×103 L. Calculate the mass of air (assume an average molar mass 28.98 g/mol) contained in an adult blue whale’s lungs at 0.5 C and 1.10 atm, assuming the air behaves ideally. Express the answer in kilograms to two significant figures.Explanation / Answer
volume = 2.35 L
temperature = 36 + 273 = 309 K
pressure = P = 735 torr = 0.967 atm
P V = n R T
0.967 x 2.35 = n x 0.0821 x 309
n = 0.0896
number of molecules = 0.0896 x 6.023 x 10^23
= 5.40 x 10^22
problem 2 :
P V = n R T
1.10 x 5 x 10^3 = n x 0.0821 x 273.5
n = 244.94
mass = 244.94 x 28.98
= 7098.4 g
= 7.1 kg
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