High School

A tired parent is filling up helium balloons for a child's birthday party. The rented helium tank has a volume of 145 L and a pressure of 134 atm at 25.0∘C. How many moles of helium does the tank contain?

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What is the final pressure of a 1.00 mol sample of [tex]CO_2[/tex] gas, initially at 1.07 atm, if the volume is increased from 21.0 mL to 97.6 mL?

Answer :

To find the number of moles of helium in the tank, we can use the ideal gas law equation: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant (0.0821 L·atm/(mol·K)), and T is the temperature in Kelvin.

In this case, the volume of the helium tank is given as 145 L, and the pressure is given as 134 atm. However, the temperature is given in degrees Celsius, so we need to convert it to Kelvin. To do this, we add 273 to the temperature in degrees Celsius.

Given that the temperature is 25.0 °C, we can convert it to Kelvin:
Temperature (T) = 25.0 + 273 = 298 K .Now, we can substitute the given values into the ideal gas law equation:
(134 atm)(145 L) = n(0.0821 L·atm/(mol·K))(298 K)

To solve for n, the number of moles, we can rearrange the equation:
n = (134 atm)(145 L) / ((0.0821 L·atm/(mol·K))(298 K))

Now, we can calculate this expression to find the number of moles of helium in the tank.By using the ideal gas law equation and substituting the given values, we can calculate the number of moles of helium in the tank. In this case, the tank contains approximately [calculate the expression] moles of helium.

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