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Solve: Helium gas has a volume of 250 mL at 0°C at 1.0 atm. What will be the final

pressure if the volume is reduced to 100 mL at 45°C?

Given: V1 = 250mL                                                       V2 = 100 mL

T1 = 00C + 273.15= 273.15 K                     T2 = 450C + 273.15=318.15 K P1 = 1 atm                                                                    P2 = ?


Solve: A certain light bulb containing argon has a pressure of 1.20 atm at 18°C. If it

will be heated to 85°C at constant volume, what will be the resulting pressure? 


find the derivative using chain rule.



1. y= (x³ + 3)⁵



2. y=(-3x⁵ + 1)³



3. y=(-5x³ - 3)³



4. y=(5x² + 3)⁴



5. f(x)=⁴√-3x⁴-2



6. f(x)= √-2x² + 1




2.   A tank ( not rigid) contains 2.5 litres of helium gas at 280C . At constant pressure, what will be the volume of the tank after heating it and its content to 430C temperature?


1, A cylinder with a movable piston contains 255 cm3 air at 100C. At what temperature would you expect the volume to be 155 cm3 if the pressure is kept constant?



1. Calculate the force of gravity on a 1.2x105 kg space station at a distance of 3.5x105 m from Earth’s surface.

 


5.A car with an internal volume of 10,500 litres, drove into the river and imploded. What is the volume of the gas when 1.0 atmospheric pressure increased to 1.2 atm.?


4.You have added 10 litres of air to a balloon at 1.0 atm. What is the new volume of the balloon if you take it to a 0.90 atmospheric pressure ?



3. Robert has a 4.5 litres of gas in a piston at a pressure of 1.45 atm. What will be the new pressure inside the piston to reduce the volume of the gas to 3.60 litres?



2.  A scuba diver needs a diving tank in order to provide breathing gas while he is under water. Calculate the pressure needed for 6.50 litres of gas at 1.02 atmospheric pressure to be reduced in a 3.25 litres cylinder.



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