Answer:
The new volume is 5.913*10^4 L
Explanation:
Step 1: Write out the formula to be used:
Using general gas equation;
P1V1 / T1 =P2V2 /T2
V2 = P1V1T2 / P2T1
Step 2: write out the values given and convert to standard unit's where necessary
P1 = 0.995atm
P2 0.720atm
V1 = 5*10^4 L
T1 = 32°C = 32+ 273 = 305K
T2 = -12°C = -12 + 273 = 261K
Step 3: Equate your values and do the calculation:
V2 = 0.995 * 5*10^4 * 261 / 0.720 * 305
V2 = 1298.475 * 10^4 / 219.6
V2 = 5.913 * 10^4 L
So the new volume of the balloon is 5.913*10^4 L
Answer:
![p_{H_2O}=2.00atm](https://tex.z-dn.net/?f=p_%7BH_2O%7D%3D2.00atm)
Explanation:
Hello!
In this case, according to the following chemical reaction:
![2H_2+O_2\rightarrow 2H_2O](https://tex.z-dn.net/?f=2H_2%2BO_2%5Crightarrow%202H_2O)
It means that we need to compute the moles of hydrogen and oxygen that are reacting, via the ideal gas equation as we know the volume, pressure and temperature:
![n_{H_2}=\frac{3.00atm*1.00L}{0.08206\frac{atm*L}{mol*K}*400K}=0.0914molH_2 \\\\n_{O_2}=\frac{1.00atm*1.00L}{0.08206\frac{atm*L}{mol*K}*400K}=0.0305molH_2](https://tex.z-dn.net/?f=n_%7BH_2%7D%3D%5Cfrac%7B3.00atm%2A1.00L%7D%7B0.08206%5Cfrac%7Batm%2AL%7D%7Bmol%2AK%7D%2A400K%7D%3D0.0914molH_2%20%5C%5C%5C%5Cn_%7BO_2%7D%3D%5Cfrac%7B1.00atm%2A1.00L%7D%7B0.08206%5Cfrac%7Batm%2AL%7D%7Bmol%2AK%7D%2A400K%7D%3D0.0305molH_2)
Thus, the yielded moles of water are computed by firstly identifying the limiting reactant:
![n_{H_2O}^{by\ H_2} = 0.0914molH_2*\frac{2molH_2O}{2molH_2} =0.0914molH_2O\\\\n_{H_2O}^{by\ O_2} = 0.0305molO_2*\frac{2molH_2O}{1molO_2} =0.0609molH_2O](https://tex.z-dn.net/?f=n_%7BH_2O%7D%5E%7Bby%5C%20H_2%7D%20%3D%200.0914molH_2%2A%5Cfrac%7B2molH_2O%7D%7B2molH_2%7D%20%3D0.0914molH_2O%5C%5C%5C%5Cn_%7BH_2O%7D%5E%7Bby%5C%20O_2%7D%20%3D%200.0305molO_2%2A%5Cfrac%7B2molH_2O%7D%7B1molO_2%7D%20%3D0.0609molH_2O)
Thus, the fewest moles of water are 0.0609 mol so the limiting reactant is oxygen; in such a way, by using the ideal gas equation once again, we compute the pressure of water:
![p_{H_2O}=\frac{0.0609molH_2O*0.08206\frac{atm*L}{mol*K}*400K}{1.00L}\\\\ p_{H_2O}=2.00atm](https://tex.z-dn.net/?f=p_%7BH_2O%7D%3D%5Cfrac%7B0.0609molH_2O%2A0.08206%5Cfrac%7Batm%2AL%7D%7Bmol%2AK%7D%2A400K%7D%7B1.00L%7D%5C%5C%5C%5C%20p_%7BH_2O%7D%3D2.00atm)
Best regards!
The water cycle is one interaction between the geosphere and the cryosphere.
Energy(heat) required to raise the temperature of water : 418.6 J
<h3>Further explanation </h3>
Heat can be calculated using the formula:
Q = mc∆T
Q = heat, J
m = mass, g
c = specific heat, joules / g ° C
∆T = temperature difference, ° C / K
Specific heat of water = 4.186 J/g*C.
∆T(raise the temperature) : 10° C
mass = 10 g
Heat required :
![\tt Q=m.c.\Delta T\\\\Q=10\times 4.186\times 10\\\\Q=418.6~J](https://tex.z-dn.net/?f=%5Ctt%20Q%3Dm.c.%5CDelta%20T%5C%5C%5C%5CQ%3D10%5Ctimes%204.186%5Ctimes%2010%5C%5C%5C%5CQ%3D418.6~J)
molaity= moles/L
molarity= 5.0 moles/ 10 L
molarity= 0.5