Answer:
n = 2 moles (1 sig-fig)
Explanation:
Using the Ideal Gas Law equation (PV = nRT), solve for n (= moles) and substitute data for ...
pressure = P(atm) = 100atm
volume =V(liters) = 50L
gas constant = R = 0.08206L·atm/mol·K
temperature = T(Kelvin) = °C + 273 = (35 + 273)K = 308K
PV = nRT => n = PV/RT = (100atm)(50L)/(0.08206L·atm/mol·K)(308K)
∴ n(moles) = 1.978moles ≅ 2 moles gas (1 sig-fig) per volume data (= 50L) that has only 1 sig-fig. (Rule => for multiplication & division computations round final answer to the measured data having the least number of sig-figs).
Moles are the ratio of the mass and the molar mass of the substance. In a 50.0 L cylinder, 2 moles of gas are present at 100 atm and 35 degrees celsius.
An ideal gas equation states the relationship between the moles of the substance, temperature, pressure, and volume. The ideal gas equation is given as,
[tex]\rm PV = nRT[/tex]
Given,
The pressure of the gas (P) = 100.0 atm
Volume of the gas (V) = 50.0 L
Temperature (T) = 308 K
Gas constant (R) = 0.08206 L atm/mol K
Substituting values in equation moles (n) is calculated as:
[tex]\begin{aligned} \rm n&= \rm \dfrac{PV}{RT}\\\\&= \dfrac{100 \times 50}{0.08206 \times 308}\\\\&= 1.978\end{aligned}[/tex]
Therefore, 1.978 or 2 moles of gas are present.
Learn more about moles here:
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