Ideal Gas Equation

1.2 Exercise 3 - Ideal Gas Equation

Remember: R = 8.31 JK-1mol-1, 0 K = -273 oC

1.      Calculate the volume occupied by one mole of a gas at 25 oC and 100 kPa.

2.      Calculate the pressure of a gas given that 0.2 moles of the gas occupy 10 dm3 at 20 oC.

3.      Calculate the temperature of a gas if 0.5 moles occupy 1.2 dm3 at a pressure of 200 kPa.

4.      Calculate the mass of a sample of carbon dioxide which occupies 20 dm3 at 27 oC and 100 kPa.

5.      Calculate the relative molecular mass of a gas if a 500 cm3 sample at 20 oC and 1 atm has a mass of 0.66 g.

6.      At 25 oC and 100 kPa a gas occupies a volume of 20 dm3. Calculate the new temperature of the gas if
a)      the volume is decreased to 10 dm3 at constant pressure.
b)      the pressure is decreased to 50 kPa at constant volume.

7.   10.0 g of calcium nitrate is heated at 100 kPa and a temperature of 300 oC, at which temperature it fully decomposes. Calculate
a)         the volume of nitrogen dioxide evolved
b)         the volume of oxygen evolved
c)         the total volume of gas evolved
Equation: 2Ca(NO3)2(s) à 2CaO(s) + 4NO2(g) + O2(g)

8.         Calculate the volume of oxygen produced at 298 K and 100 kPa by the decomposition of 30 cm3 of 0.1 moldm-3 hydrogen peroxide.
                        Equation: 2H2O2(aq) à 2H2O(l) + O2(g)

9.         Lead (IV) oxide dissolves in concentrated hydrochloric acid according to the following equation: PbO2(s) + 4HCl(aq) à PbCl2(s) + Cl2(g) + 2H2O(l)
            Starting with 37.2 g of lead (IV) oxide, calculate:
            a) the volume of 12 moldm-3 HCl needed to completely dissolve it
            b) the mass of PbCl2 produced
            c) the volume of chlorine produced at 298 K and 100 kPa.

10.       What mass of magnesium, and what volume of 2.0 moldm-3 hydrochloric acid, will be required to produce 100 cm3 of hydrogen gas at 298 K and 100 kPa?
                        Equation: Mg(s) + 2HCl(aq) à MgCl2(aq) + H2(g)

11.       0.52 g of sodium was added to 100 cm3 of water. Calculate:
            a)         The volume of hydrogen evolved at 298 K and 100 kPa
b)         The concentration of the sodium hydroxide solution produced, assuming the volume of water does not change.

                        Equation: 2Na(s) + 2H2O(l) à 2NaOH(aq) + H2(g)

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