Question 23M.2.HL.TZ2.2
| Date | May 2023 | Marks available | [Maximum mark: 7] | Reference code | 23M.2.HL.TZ2.2 |
| Level | HL | Paper | 2 | Time zone | TZ2 |
| Command term | Calculate, Deduce, State | Question number | 2 | Adapted from | N/A |
Pressure p, volume V and temperature T are measured for a fixed mass of gas.
T is measured in degrees Celsius.
The graph shows the variation of pV with T.
The mass of a molecule of the gas is 4.7 × 10−26 kg.
State the unit for pV in fundamental SI units.
[1]
kg m2 s−2 ✓
Deduce, using the graph, whether the gas acts as an ideal gas.
[3]
ALTERNATIVE 1
Graph shown is a straight line/linear
OR
expected graph should be a straight line/linear ✓
If ideal then T intercept must be at T = −273 °C ✓
Use of y = mx+c to show that x = −273 °C when y = 0 ✓
(hence ideal)
ALTERNATIVE 2
Calculates for two different points ✓
Obtains 1.50 «J K−1» for both ✓
States that for ideal gas which is constant and concludes that gas is ideal ✓
Calculate, in g, the mass of the gas.
[3]
Use of OR ✓
Mass of gas = n × NA × mass of molecule
OR
Mass of gas = N × mass of molecule ✓
5.1 «g» ✓