Your tool of choice here will be the combined gas law equation, which looks like this
Here
Now, notice that when the temperature is kept constant, increasing the pressure of the gas by a specific factor will cause its volume to decrease by the same factor #-># think Boyle's Law here. Similarly, when the pressure is kept constant, increasing the temperature of the gas by a specific factor will cause its volume to increase by the same factor #-># think Charles' law here. This tells you that increasing the temperature of the gas will cause its volume to increase. Similarly, decreasing its pressure will also cause its volume to increase. So even without doing any calculations, you should be able to say that
In other words, decreasing the pressure of the gas and increasing its temperature are changes that do not compete with each other in terms of their influence on the volume of the gas. In your case, you have
Rearrange the combined gas law equation to solve for #V_2#
Plug in your values to find
As predicted, the volume of the gas increased as a result of the two changes. Notice that the volume increased by a factor that is equal to the product of the factor that corresponds to the decrease in pressure, i.e. #2#, and the factor that corresponds to the increase in temperature, i.e. #2#. Temperature can be measured using the Celsius and Kelvin scales. Gas pressure increases with temperature. Equations explain the relationship between pressure, temperature and volume in gases. Text Solution Solution : `T_1 =T , T_2=2T` <br> `P_1=P , P_2=4P` <br> `V_1=V , V_2=?` <br> Applying gas equation <br> `(P_1V_1)/T_1=(P_2V_2)/T_2` <br> `(PxxV)/T=(4PxxV_2)/(2T)` <br> `therefore V_2=V/2` <br> The volume of gas is reduced to half of its volume. Which of these equations gives the amount of Potential Energy? KE = mgh PE = ½mv² PE = mgh KE = ½mv² ½ mass x velocity² is the rule to calculate: Potential energyKinetic energy Heat energy Mechanical energy How far must a 6N force pull a 60g toy car if 30J of energy is transferred?. How do particles move in frozen water and normal water?. compare and contrast of silicate and non silicate mineral Compare the earthquake epicenter name the country where earthquake may not happen. What time of the day should i exercise in order to lose the mount of weight?. When the materials are____,they_____. They change their ______ _______and ______. They also change in______. When heated,some solid materials are chan … A form of energy that comes from the movement of particles within substances. a cyclist is biking forward with a force of 200N. There is a force of air resistance opposing their motion of 80N. What is the net force acting on the … Which of these equations gives the amount of Potential Energy? KE = mgh PE = ½mv² PE = mgh KE = ½mv² ½ mass x velocity² is the rule to calculate: Potential energyKinetic energy Heat energy Mechanical energy How far must a 6N force pull a 60g toy car if 30J of energy is transferred?. How do particles move in frozen water and normal water?. compare and contrast of silicate and non silicate mineral Compare the earthquake epicenter name the country where earthquake may not happen. What time of the day should i exercise in order to lose the mount of weight?. When the materials are____,they_____. They change their ______ _______and ______. They also change in______. When heated,some solid materials are chan … A form of energy that comes from the movement of particles within substances. a cyclist is biking forward with a force of 200N. There is a force of air resistance opposing their motion of 80N. What is the net force acting on the … |