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<u>Answer:</u> The spacecraft traveled 345 km during the given time.
<u>Explanation:</u>
To calculate the distance of spacecraft, we use the equation:

We are given:
Velocity = 2.3 km/sec
Time = 2.5 mins = 150 sec (Conversion factor: 1 min = 60 sec)
Putting values in above equation, we get:

Hence, the spacecraft traveled 345 km during the given time.
Answer: Number of balloons that can be filled with He are 1397.
Explanation:
The given data is as follows.
V = 25 L He
, P = 131 atm
T =
= (19 + 273) K
= 292 K
According to ideal gas equation,
PV = nRT
where, n = 
= 
= 136.76 mol of He
The data for small balloons is given as follows.
T =
= (27 + 273) K
= 300 K
P = 732 = 0.963 atm
V = 2.50 L
Now, we will calculate the number of moles as follows.
n = 
= 
= 0.098 mol
So, number of balloons that can be filled with He are calculated as follows.
n =
= 
= 1397.60 balloons
or, = 1397 balloons (approx)
Thus, we can conclude that number of balloons that can be filled with He are 1397.
Answer:
a) 4480L
b) 56L
Explanation:
To answer this question you need to know that Cl2 molecular weight is 71 g/mol and gas volume at NTP is 22.4 L/mol.
a) 14.2 kg of Cl2 in moles will be: 14.2 kg * (1000g/kg) / ( 71g/mol)= 200 mol
The volume of 200 mol of gas in NTP will be: 200 mol * 22.4L/mol= 4480L
b) every mol is made of 6.02 * 10²³ molecules. Then the volume of the gas will be: (15,055×10²³ molecule) / (6.02 * 10²³ molecules/mol) * 22.4 L/mol= 56L
<span>After 3200 years, the amount remaining of the original 900 g is 225/900 = 1/4.
Each half-life is enough time to reduce the amount of a radioactive material by a factor of 2.
1/4 is a reduction by two factors of 2. (1/2 * 1/2 = 1/4)
So 3200 years is two half-lives, so one half-life is 1600 years. </span> Source(s):