A chemical compound becomes 1.375 degrees hotter when one gram of calcium is added to it. how much calcium must you add to raise the temperature of the compound by 75.625 degrees/
what is 75.625/1.375 * 1 gram Ca ?
Well, that's quite the calcium conundrum! Let's do some math, shall we?
If adding one gram of calcium makes the compound 1.375 degrees hotter, we can use this ratio to figure out how much calcium we need to raise the temperature by 75.625 degrees.
So, 1.375 degrees hotter with 1 gram of calcium. If we want to raise the temperature by 75.625 degrees, we can set up a proportion to find out how much calcium we need.
1 gram of calcium is to 1.375 degrees as "X" grams of calcium is to 75.625 degrees.
Using cross-multiplication, we get:
1 gram * 75.625 degrees = X grams * 1.375 degrees
75.625 = X * 1.375
Dividing both sides by 1.375:
X = 75.625 / 1.375
X ≈ 55.12 grams
So, it looks like you'll need approximately 55.12 grams of calcium to raise the temperature of the compound by 75.625 degrees. But hey, don't forget to factor in the potential meltdown of all your chemistry jokes during the process!
To calculate the amount of calcium needed to raise the temperature of the compound by 75.625 degrees, we can use the concept of specific heat capacity. The specific heat capacity of a substance is defined as the amount of heat energy required to raise the temperature of one gram of that substance by one degree Celsius.
In this case, we are given that the compound becomes 1.375 degrees hotter when one gram of calcium is added. This means that the specific heat capacity of the compound is 1.375 J/g°C.
To find the mass of calcium needed to raise the temperature of the compound by 75.625 degrees, we can use the formula:
q = m * c * ΔT
where q is the heat energy, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.
We want to find the mass (m), so we rearrange the equation:
m = q / (c * ΔT)
Substituting the given values:
m = 1 / (1.375 * 75.625)
m = 1 / 102.96875
m ≈ 0.0097 grams
Therefore, you need to add approximately 0.0097 grams of calcium to raise the temperature of the compound by 75.625 degrees.
To find out how much calcium you need to add to raise the temperature of the compound by 75.625 degrees, we can use a proportion.
Let's set up the proportion using the given information:
1 gram of calcium = 1.375 degrees
x grams of calcium = 75.625 degrees
Setting up the proportion:
1 gram of calcium / 1.375 degrees = x grams of calcium / 75.625 degrees
To solve for x, we cross multiply:
1 * 75.625 degrees = x grams of calcium * 1.375 degrees
75.625 = 1.375x
Now, we can solve for x by dividing both sides of the equation by 1.375:
75.625 / 1.375 = x
x ≈ 55.18 grams of calcium
Therefore, you would need to add approximately 55.18 grams of calcium to raise the temperature of the compound by 75.625 degrees.