Question 4:
Pressure in a gas cylinder is 175 kPa at a temperature of 27°C. Heat from a nearby furnace causes the gas pressure to increase to 300 kPa. What is the temperature of the gas inside the cylinder?
Answer:
\begin{aligned} & P_1=175 \mathrm{kPa} \\ & P_2=300 \mathrm{kPa} \\ & T_1=27+273=300 \mathrm{~K} \\ & T_2=? \end{aligned}
Pressure in a gas cylinder is 175 kPa at a temperature of 27°C. Heat from a nearby furnace causes the gas pressure to increase to 300 kPa. What is the temperature of the gas inside the cylinder?
Answer:
\begin{aligned} & P_1=175 \mathrm{kPa} \\ & P_2=300 \mathrm{kPa} \\ & T_1=27+273=300 \mathrm{~K} \\ & T_2=? \end{aligned}
Gay-Lussac’s Law formula: $$ \begin{aligned} \frac{P_1}{T_1} & =\frac{P_2}{T_2} \\ \frac{175}{300} & =\frac{300}{T_2} \\ T_2 & =\frac{300 \times 300}{175} \\ & =514.29 \mathrm{~K}-273 \\ & =241.29^{\circ} \mathrm{C} \end{aligned} $$
Question 5:
Figure 4.35 shows an apparatus set up to study the relationship between pressure and temperature for air inside a round-bottom flask.
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(a) Identify four aspects in the apparatus set up that can jeopardise the accuracy of the results of the experiment.
(b) Suggest modifications to improve the set up.
Answer:
(a)
(b)
Figure 4.35 shows an apparatus set up to study the relationship between pressure and temperature for air inside a round-bottom flask.
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(a) Identify four aspects in the apparatus set up that can jeopardise the accuracy of the results of the experiment.
(b) Suggest modifications to improve the set up.
Answer:
(a)
- The round bottom flask is not fully immersed inside the water
- Position of thermometer is on the surface of water
- No stirrer rod
- Location of pressure gauge at lower level
(b)
- The round bottom flask must immerse deeper inside the water to ensure all the molecules of gas heat up uniformly.
- Immerse the mercury bulb of the thermometer inside the water to get more accurate reading.
- A stirrer rod is used to stir the water for spreading heat uniformly.
- The pressure gauge is put on the block to make it closer to the flask to prevent loss of gas pressure.