Respuesta :
Answer:
The volume at mountains is 2.766 L.
Explanation:
Given that,
Volume [tex]V_{1} = 2.00\ L[/tex]
Pressure [tex]P_{1}= 1.00\ atm[/tex]
Pressure [tex]P_{2}= 70.0\ kPa[/tex]
Temperature [tex]T_{1}= 20.0°C = 293\ K[/tex]
Temperature [tex]T_{2}= 7.00°C = 280\ K[/tex]
We need to calculate the volume at mountains
Using gas law
[tex]\dfrac{PV}{T}=\ Constant[/tex]
For both temperature,
[tex]\dfrac{P_{1}V_{1}}{T_{1}}=\dfrac{P_{2}V_{2}}{T_{2}}[/tex]
Put the value into the formula
[tex]\dfrac{101.325\times2}{293}=\dfrac{70\times V_{2}}{280}[/tex]
[tex]V_{2}=\dfrac{101.325\times2\times280}{293\times70}[/tex]
[tex]V_{2}=2.766\ litre[/tex]
Hence, The volume at mountains is 2.766 L.
The volume of the air in the bag of potato chips to the mountains which is still sealed, 2.766 liters.
What is the gas law?
The gas law is used to show the relationship between the pressure and the temperature of the gases. It can be given as,
[tex]PV=nrT[/tex]
Here, (n) and (r) are the constant. Therefore,
[tex]\dfrac{PV}{T}=\rm Constant[/tex]
For the initial and final values, the gas law can be given as,
[tex]\dfrac{P_1V_1}{T_1}=\dfrac{P_2V_2}{T_2}[/tex]
Here, (subscript 1,and 2) is used for the initial and final amount of pressure and temperature.
The initial values of the bag of potato chips as volume of 2.00 L, pressure of 1.00 ATM and a temperature of 20.0°C. It is known that the value of 1 ATM is equal to the 101.325 kPa.
The final temperature of the pack is 7.00°C and atmospheric pressure is 70.0 kPa
Put the values in the above formula as,
[tex]\dfrac{101.325\times2}{293}=\dfrac{70\times V_2}{280}\\V_2=2.766\rm \; liters[/tex]
Hence, the volume of the air in the bag of potato chips to the mountains which is still sealed, 2.766 liters.
Learn more about the gas law here;
https://brainly.com/question/25290815
