What is the density of 0.50 grams of gaseous carbon stored under 1.5 atm of pressure at a temperature of -20.0 C?
1 answer:
Answer: The density of 0.50 grams of gaseous carbon stored under 1.50 atm of pressure at a temperature of -20.0 °C is 0.867 g/L .
Explanation:
d = m/V , where d is the density, m is the mass and V is the volume.We have the mass m = 0.50 g, so we must get the volume V. To get the volume of a gas, we apply the general gas law PV = nRT P is the pressure in atm (P = 1.5 atm)
V is the volume in L (V = ??? L)
n is the number of moles in mole, n = m/Atomic mass , n = 0.50/12.0 = 0.416 mole .
R is the general gas constant (R = 0.082 L.atm/mol.K).
T is the temperature in K (T(K) = T(°C) + 273 = -20.0 + 273 = 253 K ).
Then, V = nRT/P = (0.416 mol)(0.082 L.atm/mol.K)(253 K) / (1.5 atm) = 0.576 L . Now, we can obtain the density; d = m/V = (0.50 g) / (0.576 L) = 0.867 g/L .
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