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The given question is incomplete. The complete question is as follows.
Measurements show that the enthalpy of a mixture of gaseous reactants decreases by 338 kJ during a certain chemical reaction, which is carried out at a constant pressure. Furthermore, by carefully monitoring the volume change it is determined that 187 kJ of work is done on the mixture during the reaction. Calculate the change in energy of the gas mixture during the reaction. Be sure your answer has the correct number of significant digits. Is the reaction exothermic or endothermic ?
Explanation:
The given data is as follows.
Change in enthalpy () = -338 kJ (as it is a decrease)
Work done = 187 kJ,
Change in energy () = ?
Now, according to the first law of thermodynamics the formula is as follows.
Hence, putting the given values into the above formula as follows.
Also, we know that W =
so,
= -151 kJ
Thus, we can conclude that the change in energy of the gas mixture during the reaction is -151 kJ.
Explanation:
It is given that,
Mas of the car,
Initial speed of the car,
Mass of the truck,
Initial speed of the car,
Final speed of the car,
(a) It is a case of elastic collision. Let is the final velocity of the truck right after the collision. Using the conservation of linear momentum to find it :
(b) Initial kinetic energy is given by :
Final kinetic energy is given by :
The change in mechanical energy of the car truck system in the collision:
The loss in kinetic energy is 10029.39 Joules.
(c) The change in mechanical energy gets changed energy gets changed in the form of heat and light.
Hence, this is the required solution.
Calculating speed as function of distance y is fairly easy. Once water leaves pipe it is under free fall which means that it is accelerating with gravitational acceleration "a".
V=Vo + Vff where Vff is speed gained due to free fall.
Calculating radius of stream is a little bit more complicated. Because water is accelerating as it falls it has to lower its radius. The reason for this is that water flow must be the same as one at the exit of pipe. Water flow is expressed in liters/meter^3
Because of this we write condition:
V1/V2 = A2/A1 where A2 and A1 are sections of water stream.
let V1 and A1 be the speed and section of water stream at the end of pipe.
A2 = V1*A1/V2
V=Vo + Vff where Vff is speed gained due to free fall.
Calculating radius of stream is a little bit more complicated. Because water is accelerating as it falls it has to lower its radius. The reason for this is that water flow must be the same as one at the exit of pipe. Water flow is expressed in liters/meter^3
Because of this we write condition:
V1/V2 = A2/A1 where A2 and A1 are sections of water stream.
let V1 and A1 be the speed and section of water stream at the end of pipe.
A2 = V1*A1/V2
The escape speed for a spacecraft at the surface of a planet of mass M and radius R is:
where G is the gravitational constant. We can use this formula to solve both parts of the problem, using the data of Jupiter and Mars.
a) Mars:
Mars mass is
, while Mars radius is 
, so the escape speed of the spacecraft at Mars surface is
b) Jupiter:
Jupiter mass is
while its radius is 
, so the escape speed at its surface is
where G is the gravitational constant. We can use this formula to solve both parts of the problem, using the data of Jupiter and Mars.
a) Mars:
Mars mass is
b) Jupiter:
Jupiter mass is