Answer: The final temperature of the gas is 7.58 °C.
Explanation: We are given initial and final pressure of the system and we need to find the final temperature of the system.
To calculate it, we use the equation given by Gay-Lussac.
His law states that pressure is directly related to the temperature of the gas.
![P\propto T](https://tex.z-dn.net/?f=P%5Cpropto%20T)
Or,
![\frac{P_1}{T_1}=\frac{P_2}{T_2}](https://tex.z-dn.net/?f=%5Cfrac%7BP_1%7D%7BT_1%7D%3D%5Cfrac%7BP_2%7D%7BT_2%7D)
where,
= initial pressure = 893 mmHg = 1.175atm (Conversion factor: 1atm = 760mmHg)
= initial temperature = 49.3°C = [49.3 + 273.15]K = 322.45K
= Final pressure = 778mmHg = 1.023atm
= Final temperature = ?°C
Putting values in above equation, we get:
![\frac{1.175atm}{322.45K}=\frac{1.023atm}{T_2}\\\\T_2=280.73K](https://tex.z-dn.net/?f=%5Cfrac%7B1.175atm%7D%7B322.45K%7D%3D%5Cfrac%7B1.023atm%7D%7BT_2%7D%5C%5C%5C%5CT_2%3D280.73K)
Converting Final temperature from kelvin to degree Celsius.
![T_2=280.73K=[280.73-273.15]^oC=7.58^oC](https://tex.z-dn.net/?f=T_2%3D280.73K%3D%5B280.73-273.15%5D%5EoC%3D7.58%5EoC)
Hence, the final temperature of the gas is 7.58 °C.
<u>Answer:</u> The new volume of the gas will be 0.233L.
<u>Explanation:</u>
To calculate the new volume of the gas, we will use the equation given by Boyle's Law.
The above law states that the pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.
Mathematically,
(At constant temperature and number of moles)
or,
![P_1V_1=P_2V_2](https://tex.z-dn.net/?f=P_1V_1%3DP_2V_2)
where,
are the initial pressure and volume of the gas.
are the final pressure and volume of the gas.
We are given:
![P_1=300mmHg\\V_1=0.7L\\P_2=900mmHg\\V_2=?L](https://tex.z-dn.net/?f=P_1%3D300mmHg%5C%5CV_1%3D0.7L%5C%5CP_2%3D900mmHg%5C%5CV_2%3D%3FL)
Putting values in above equation, we get:
![300\times 0.7=900\times V_2\\\\V_2=0.233L](https://tex.z-dn.net/?f=300%5Ctimes%200.7%3D900%5Ctimes%20V_2%5C%5C%5C%5CV_2%3D0.233L)
Hence, the new volume of the gas will be 0.233L.
Answer:increase
Explanation: the more electrons there are the bigger the electron field is and the bigger the atomic radii is