Answer:- The speed of the satellite is 7.6 .
Solution:- It's a unit conversion problem that could be solved using dimensional analysis which is also known as train trail method.
The given speed of the satellite is 17000 miles per hour and we are asked to convert it to kilometers per second.
given:
1 Kilometer = 0.62 mile
1 hour = 3600 second
Let's use this given info and plug in the values to make the set up as:
= 7.616
We round the answer to two significant figures, since the given number(17000) has only two significant figures.
Hence, the speed of the satellite is 7.6 .
Answer:
619.2 °C
Explanation:
Given data:
Initial volume of gas = 736 mL
Initial temperature = 15°C
Final volume = 2.28 L
Final temperature = ?
Solution:
First of all we will convert the temperature into kelvin and mL into L.
Initial temperature = 15°C (15+273 = 288 k)
Initial volume of gas = 736 mL × 1 L/1000 mL = 0.736 L
The given problem will be solve through the Charles Law.
According to this law, The volume of given amount of a gas is directly proportional to its temperature at constant number of moles and pressure.
Mathematical expression:
V₁/T₁ = V₂/T₂
V₁ = Initial volume
T₁ = Initial temperature
V₂ = Final volume
T₂ = Final temperature
Now we will put the values in formula.
V₁/T₁ = V₂/T₂
0.736 L / 288 k = 2.28 L / T₂
T₂ = 2.28 L× 288 k/0.736 L
T₂ = 656.64 K /0.736
T₂ = 892.2 K
Kelvin to °C:
892.2 K - 273.15 = 619.2 °C
Answer:
P = 0.6815 atm
Explanation:
Pressure = 754 torr
The conversion of P(torr) to P(atm) is shown below:
So,
Pressure = 754 / 760 atm = 0.9921 atm
Temperature = 294 K
Volume = 3.1 L
Using ideal gas equation as:
PV=nRT
where,
P is the pressure
V is the volume
n is the number of moles
T is the temperature
R is Gas constant having value = 0.0821 L.atm/K.mol
Applying the equation as:
0.9921 atm × 3.1 L = n × 0.0821 L.atm/K.mol × 294 K
⇒n of helium gas= 0.1274 moles
Surface are = 1257 cm²
For a sphere, Surface area = 4 × π × r² = 1257 cm²
r² = 1257 / 4 × π ≅ 100 cm²
r = 10 cm
The volume of the sphere is :
Where, V is the volume
r is the radius
V = 4190.4762 cm³
1 cm³ = 0.001 L
So, V (max) = 4.19 L
T = 273 K
n = 0.1274 moles
Using ideal gas equation as:
PV=nRT
Applying the equation as:
P × 4.19 L = 0.1274 × 0.0821 L.atm/K.mol × 273 K
<u>P = 0.6815 atm</u>
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Answer:
Molarity = 0.5 M
Osmolarity = 0.5 x 2 = 1 Osmpl.
Molecules of Cl2 = 6.02 x / 4= 1.505 x no. of molecules
Explanation:
If we add half mole in 1L volume than molarity will obviously be 0.5 M.
The osmolarity is molarity multiplies by number of dissociates of solute that for CaCl2 are 2. So, 2 x 0.5 = 1
Half will be molecules of Ca and half will be of Cl2 for 0.5M.