Question

Can someone help me with these?

Answer 1

Answer: 6. The pressure inside the baloon will be 6.8 atm

7. The final volume is 21.5L at tempearture of 388 K.

Step-by-step explanation:

Boyle's Law: This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.

`P\propto (1)/(V)` (At constant temperature and number of moles)

`P_1V_1=P_2V_2`

where,

`P_1` = initial pressure of gas = 3.5 atm

= final pressure of gas = ?

= initial volume of gas = 32 L

`V_2` = final volume of gas = 19.3 L

`3.5* 32=P_2* 19.3`

`P_2=5.8atm`

Therefore, the pressure inside the baloon will be 5.8 atm

7. To calculate the final volume of the system, we use the equation given by Charles' Law. This law states that volume of the gas is directly proportional to the temperature of the gas at constant pressure.

Mathematically,

`(V_1)/(T_1)=(V_2)/(T_2)`

where,

`V_1\text{ and }T_1` are the initial volume and temperature of the gas.

`V_2\text{ and }T_2` are the final volume and temperature of the gas.

We are given:

`V_1=13L\\T_1=235K\\V_2=?\\T_2=388K`

Putting values in above equation, we get:

`(13L)/(235K)=(V_2)/(388K)\\\\V_2=21.5L`

Thus it will occupy 21.5L at tempearture of 388 K.