Question

The compound T is

Short answer

The mass of compound T formed is \(125\) grams.

Step-by-step solution

Calculate the mass of compound A in T

We know that the percentage composition of compound T is 40% A. Let's find the mass of A in compound T. Let x be the mass of compound T formed. The mass of A in compound T is 40% of the mass of T. \( Mass \, of \, A \, in \, T = 0.4x \)

Calculate the mass of compound B in T

We know that the percentage composition of compound T is 60% B. Let's find the mass of B in compound T. The mass of B in compound T is 60% of the mass of T. \( Mass \, of \, B \, in \, T = 0.6x \)

Determine the mass of compound T

Now, we know that the total mass of compound T is equal to the mass of A and B in compound T. So, we can write the equation: \( Mass \, of \, A \, in \, T + Mass \, of \, B \, in \, T = Mass \, of \, A \, reacted + Mass \, of \, B \, reacted \) Substitute the values we found in step 1 and step 2: \( 0.4x + 0.6x = 50 + 75 \) Simplify the equation: \( x = 50 + 75 \)

Calculate the mass of compound T formed

Now, we can calculate the mass of compound T formed by solving the equation: \( x = 50 + 75 \) \( x = 125 \) So, the mass of compound T formed is 125 grams.

Key concepts

Percentage Composition

Understanding percentage composition is crucial to mastering stoichiometry, as it relates to the make-up of a chemical compound. Let's consider a compound, which we'll call 'T'. If given that T is composed of 40% substance A and 60% substance B, it simply means that for every 100 grams of T, there would be 40 grams of A and 60 grams of B.

The percentage composition informs us about the proportionate amounts of each element in a compound, and this concept is foundational when it comes to determining the formula of unknown substances and for other stoichiometric calculations. By knowing these percentages, we can work out the actual grams of each component in a given mass of the compound by applying the formula:
\[ \text{Mass of component} = (\text{Percentage composition} \times \text{Total mass}) / 100 \]
It might sound complex, but with a bit of practice, percentage composition will become a handy tool in your chemistry toolkit!

Chemical Compound Mass Calculation

Calculating the mass of a chemical compound is a fundamental stoichiometric skill that interplays closely with the concept of percentage composition. If we are given a compound with known percentage composition, we can calculate the mass of each component by considering the overall mass of the compound. For compound T, composed of substances A and B, we determine the individual masses using the given percentages.

To calculate the total mass of compound T, we use the masses of A and B, provided from the percentage composition, and add them together. If the mass of A and B reacted are known (say 50 grams and 75 grams respectively), we can set up an equation acknowledging that the sum of the individual masses should be equal to the total mass of T:
\[ \text{Total mass of T} = \text{Mass of A} + \text{Mass of B} \]
Through this process, we can deduce the mass of the entire compound, which is pivotal for further stoichiometric calculations.

Stoichiometric Calculations

Stoichiometry is the heart of chemical equations, balancing them, and playing a vital role in the quantitative analysis of substances participating in chemical reactions. When we look at stoichiometric calculations, we're venturing into a realm where we can predict the outcomes of chemical reactions, in terms of the masses of reactants and products.

For our compound T, stoichiometry comes into play when we tie together the percentage composition and the chemical compound mass calculations to find out the total mass of T formed. After calculating the mass of compounds A and B in T, we sum them up to get the mass of T. This process mirrors the conservation of mass principle, where matter cannot be created or destroyed, only transformed. Thus, stoichiometric calculations account for every atom involved, ensuring that the input (reactants) and output (products) are quantitatively consistent.
\[ \text{Mass of T reacted} = \text{Mass of A reacted} + \text{Mass of B reacted} \]
This equation is a simple yet profound representation of stoichiometry, effectually connecting the dots between theory and practical outcomes in chemical reactions.